Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992z |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
46563328 = 215 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1228,-16560] |
[a1,a2,a3,a4,a6] |
Generators |
[8080:52164:125] |
Generators of the group modulo torsion |
j |
6249839688/1421 |
j-invariant |
L |
5.6187946921661 |
L(r)(E,1)/r! |
Ω |
0.80650281662241 |
Real period |
R |
6.9668630739534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12992bj2 6496a2 116928dp2 90944dm2 |
Quadratic twists by: -4 8 -3 -7 |